Results 21 to 30 of about 1,858,099 (308)
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s).
Hüseyin Irmak
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Chromatic roots are dense in the whole complex plane [PDF]
, 2000 I show that the zeros of the chromatic polynomials P_G(q) for the generalized theta graphs \Theta^{(s,p)} are, taken together, dense in the whole complex plane with the possible exception of the disc |q-1| < 1.
Sokal, Alan D.
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Quantitative phase imaging via the holomorphic property of complex optical fields
Physical Review Research, 2023 An optical field is described by the amplitude and phase, and thus has a complex representation described in the complex plane. However, because the only thing we can measure is the amplitude of the complex field on the real axis when not introducing an ...
Jeonghun Oh +2 more
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Topology and Metricity of the Complex Plane
Davao Research Journal, 2002 The equinumerosity of the set of complex numbers and a set of ordered pairs of real numbers is used to show the topology of the complex plane. Likewise, the metricity of the complex plane is proved with the aid of the metricity of the plane R.
Ryan Calungsod, Marleonie Bauyot
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Polarizing Šolc filters: a pedagogical derivation in the complex plane
Comptes Rendus. Physique, 2021 For the theoretical study of Šolc filters, used in particular in solar observatories or coronagraphs, we use the complex plane representation of polarization, which had apparently never been done before in this context.
Dettwiller, Luc
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Magnetopause as conformal mapping [PDF]
Annales Geophysicae, 2023 An axi-symmetric two-dimensional magnetopause model is constructed by making use of the conformal mapping in the complex plane. The model is an analytic continuation of the power-law damped (or asymptotically elongated) parabolic shape. The complex-plane
Y. Narita, S. Toepfer, D. Schmid
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On semilinear equations in the complex plane
Доповiдi Нацiональної академiї наук України, 2019 We study the Dirichlet problem for the semilinear partial differential equations div (A∇u) = f (u) in simply connected domains D of the complex plane C with continuous boundary data. We prove the existence of the weak solutions u in the class C ∩Wloc1,2 (
V.Ya. Gutlyanskiĭ +2 more
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Infinite Radicals in the Complex Plane [PDF]
Proceedings of the American Mathematical Society, 1961 is called an infinite radical. The numbers aj are the elements of the infinite radical, and the uj are called partial radicals. Throughout this paper a'12 will mean that square root whose real part is positive or zero. If a is a negative real number, a"/2 will be defined to be on the positive imaginary axis.
Schuske, Georgellen, Thron, W. J.
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Support and density of the limit $m$-ary search trees distribution [PDF]
, 2012 The space requirements of an $m$-ary search tree satisfies a well-known phase transition: when $m\leq 26$, the second order asymptotics is Gaussian. When $m\geq 27$, it is not Gaussian any longer and a limit $W$ of a complex-valued martingale arises.
Chauvin, Brigitte +2 more
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Partition function zeros of the Q-state Potts model on the simple-cubic lattice
, 2002 The $Q$-state Potts model on the simple-cubic lattice is studied using the zeros of the exact partition function on a finite lattice. The critical behavior of the model in the ferromagnetic and antiferromagnetic phases is discussed based on the ...
Alves +87 more
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